Orthogonal polynomials, Laguerre Fock space, and quasi-classical asymptotics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00446808" target="_blank" >RIV/67985840:_____/15:00446808 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4927343" target="_blank" >http://dx.doi.org/10.1063/1.4927343</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4927343" target="_blank" >10.1063/1.4927343</a>

Result language
angličtina
Original language name
Orthogonal polynomials, Laguerre Fock space, and quasi-classical asymptotics
Original language description
Continuing our earlier investigation of the Hermite case [S. T. Ali and M. Engliš, J. Math. Phys. 55, 042102 (2014)], we study an unorthodox variant of the Berezin-Toeplitz quantization scheme associated with Laguerre polynomials. In particular, we describe a ?Laguerre analogue of the classical Fock (Segal-Bargmann) space and the relevant semi-classical asymptotics of its Toeplitz operators; the former actually turns out to coincide with the Hilbert space appearing in the construction of the well-knownBarut-Girardello coherent states. Further extension to the case of Legendre polynomials is likewise discussed.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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